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Finding the Fourth Proportional to 311.73, 469.91 and 294.05

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Solution

The fourth proportional to 311.73, 469.91 and 294.05 is: 443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.73 : 469.91 = 294.05 : x
  2. Step 2: Convert to fraction form
    311.73/469.91 = 294.05/x
  3. Step 3: Cross multiply
    311.73x = 469.91 × 294.05
  4. Step 4: Simplify right side
    311.73x = 138,173.22
  5. Step 5: Solve for x
    x = 138,173.22/311.73
  6. Step 6: Final answer
    x = 443.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.